Research ArticleOpen AccessGoogle Scholar indexed
Restricted Three-Body Problem in Different Coordinate Systems
Department of Astronomy, Faculty of Science, King Abdulaziz University, Jeddah, KSA
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, KSA
- 1 Department of Astronomy, Faculty of Science, King Abdulaziz University, Jeddah, KSA
- 2 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, KSA
Applied Mathematics·Volume 03 (2012)·Pages 949–953·Published 27 September 2012·DOI10.4236/am.2012.39142
Copy link · social · email
Abstract
In this paper of the series, the equations of motion for the spatial circular restricted three-body problem in sidereal spherical coordinates system were established. Initial value procedure that can be used to compute both the spherical and Cartesian sidereal coordinates and velocities was also developed. The application of the procedure was illustrated by numerical example and graphical representations of the variations of the two sidereal coordinate systems.
KeywordsSpatial Restricted Circular Three Body ProblemRegularizationCoordinate Transformations
- M. A. Sharaf and A. A. Alshaery, “Restricted Three- Body Problem in Cylindrical Coordinates System, (Paper I),” Journal of Applied Mathematics, 2012, in press.
- V. Szebehely, “Theory of Orbits,” Academic Press, New York, 1967.